# Equilateral Area

Level pending

There is an equilateral triangle $$ABC$$ with points $$D$$, $$E$$ and $$F$$ on lines $$AB$$, $$BC$$ and $$CA$$ respectively.

$$AD = 2BD$$, $$BE = 2CE$$ and $$CF = 2AF$$. If $$D$$, $$E$$ and $$F$$ are connected to form a triangle and the side lengths of $$ABC$$ are 62 each, what is the area of $$DEF$$ to the nearest integer?

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